What is the answer to |2x-1|=2 ?

The answer to |2x-1|=2 is x=-1/2 \lor x= 3/2

Solve for x: |2x-1|=2

The solution is x=-1/2 \lor x= 3/2

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∣ 2 x - 1 ∣ = 2

x = - \frac{1}{2} or x = \frac{3}{2}

Decimal Notation

x = - 0.5, x = 1.5

Solution steps

∣ 2 x - 1 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 1 = - 2 or 2 x - 1 = 2

2 x - 1 = - 2 or 2 x - 1 = 2

x = - \frac{1}{2} or x = \frac{3}{2}

∣ 2 t + 5 ∣ = 4

2 y^{2} + 9 y + 4

5 x + 30 = 0

\frac{3 ^{6}}{3 ^{3}}

0 = 80 t - 16 t^{2}